3. Suppose that the number of system failures each month has a Poisson distribution with average 0. Thenumber of such failures was observed for a year in order to test the following hypotheses:Ho: 0 = 0, vsH1: 0 = 0,Find an MP size-a (or level- a) test for these hypotheses.

Answered: Image /qna-images/answer/18fbca18-550e-4265-8c2c-49df19e982c9.jpg

Answered: 3. Suppose that the number of system…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student stated: “I fail to see why the response function needs to be constrained between 0 and 1 when the response variable is binary and has a Bernoulli distribution. The fit to 0, 1 data will take care of this problem for any response function.” Comment.
1.Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages μ = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 1.2. A) The researcher wants to know if the sample of males consume significantly more energy drinks than the overall population average. What are the independent and dependent variables? Using symbols, state the hypotheses for the type of test you indicated in part b. (H0and H1) Sketch the appropriate distribution and locate the critical region for α…
7
Suppose we want to know if the proportion of people with a certain trait is less than 0.5. We observe 100 people and find that 44 of them have the trait of interest. Assume that the samples are Normally distributed. Conduct a hypothesis test at level 0.05 using a p-value to answer this question.
3. Suppose that the number of system failures each month has a Poisson distribution with average 8. The number of such failures was observed for a year in order to test the following hypotheses: Ho: 0 = 00 Vs H₁: 0 = 0₁ Find an MP size-a (or level-a) test for these hypotheses.
In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) What is/are the critical value(s)?
An employer asserts that it is justifiable to pay female employees more than male employees on the grounds that they are more productive. Suppose that the population hourly outputs of male and female employees are normally distributed but assumed to have non-constant variances. To determine if there is evidence to support the claim of the employer, data on hourly outputs of random samples of 15 female and 15 male employees were collected and shown below. Female 349 353 349 336 342 353 357 347 357 348 354 346 345 359 340 Male 304 343 344 313 340 319 348 338 339 351 345 369 360 326 340 a. Can the employer's assertion be substantiated at 5% level of significance? b. Perform another test this time at 1% level of significance and compare the result in (a). Explain.
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Example 3: Last year, the population mean of electric energy consumption in city A was 150kwh/month. After a public energy savings awareness campaign, obserse on electric energy 867 Carry consumption of some households. 100- 120- 140- 160- (KWH/month) Households 120 140 160 180 11 9. 3 Assuming that X is normally distributed, does the data suggest that the population mean of electric energy consumption decrease? Carry out a test using a significance level of .05. Ans: t=-3,37 5E
Q1)The following is true, except: a)Data transformations can be used to improve the normality status of your data (e.g. log transformation) b)We need to assess normality prior to doing hypothesis testing, especially when the sample size is small . c)QQ plots gives a very good indication of normality, when the scattered points are on the diagonal line (closer to a straight line), this suggests lack of normality. d)When having significant results of Shapiro-Wilk test, we have sufficient evidence to reject the NULL hypothesis (i.e. normal distribution) in support of the alternative f)The variability of the data should be regarded as noise, and thus ignored
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3. Suppose that the number of system failures each month has a Poisson distribution with average 0. The number of such failures was observed for a year in order to test the following hypotheses: Ho: 0 = 00 H1: 0 = 0, Vs Find an MP size-a (or level- a) test for these hypotheses.